A model of supply-chain decisions for resource sharing with an application to ventilator allocation to combat COVID-19

We present a stochastic optimization model for allocating and sharing a critical resource in the case of a pandemic. The demand for different entities peaks at different times, and an initial inventory for a central agency are to be allocated. The entities (states) may share the critical resource with a different state under a risk-averse condition. The model is applied to study the allocation of ventilator inventory in the COVID-19 pandemic by FEMA to different U.S. states. Findings suggest that if less than 60% of the ventilator inventory is available for non-COVID-19 patients, FEMA's stockpile of 20 000 ventilators (as of March 23, 2020) would be nearly adequate to meet the projected needs in slightly above average demand scenarios. However, when more than 75% of the available ventilator inventory must be reserved for non-COVID-19 patients, various degrees of shortfall are expected. In a severe case, where the demand is concentrated in the top-most quartile of the forecast confidence interval and states are not willing to share their stockpile of ventilators, the total shortfall over the planning horizon (until May 31, 2020) is about 232 000 ventilator days, with a peak shortfall of 17 200 ventilators on April 19, 2020. Results are also reported for a worst-case where the demand is at the upper limit of the 95% confidence interval. An important finding of this study is that a central agency (FEMA) can act as a coordinator for sharing critical resources that are in short supply over time to add efficiency in the system. Moreover, through properly managing risk-aversion of different entities (states) additional efficiency can be gained. An additional implication is that ramping up production early in the planning cycle allows to reduce shortfall significantly. An optimal timing of this production ramp-up consideration can be based on a cost-benefit analysis.     

2014nccet:基于SI仿真的高密度存储服务器高速链路设计

针对高密度存储服务器中高速链路结构复杂、信号速率高、链路长度长等特点,在高速链路PCI-E3.0和SAS3.0设计过程中引入全面的SI仿真。通过对高速PCB设计中拓扑结构、材料类型、PCB结构等关键项目进行仿真设计,获得成本最低、性能达标的最优方案;通过全链路有源仿真,预估系统性能,降低系统投产风险;通过系统实际信号测试,验证系统性能完全满足相应规范要求,仿真结果有效可靠。     

Pricing and inventory management during new product introduction when shortage creates hype

In this study, we analyze the joint pricing and inventory management during new product introduction when product shortage creates additional demand due to hype. We develop a two‐period model in which a firm launches its product at the beginning of the first period, before it observes sales in the two periods. The product is successful with an exogenous probability, or unsuccessful with the complementary probability. The hype in the second period is observed only when the product is successful. The firm learns the actual status of the product only after observing the first‐period demand. The firm must decide the stocking level and price of the product jointly at the beginning of each of the two periods. In this article, we derive some structural properties of the optimal prices and inventory levels, and show that (i) firms do not always exploit hype, (ii) firms do not always increase the price of a successful product in the second period, (iii) firms may price out an unsuccessful product in the first period if the success probability is above a threshold, and (iv) such a threshold probability is decreasing in the first‐period market potential of the successful product. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 304–320, 2015     

Chance‐constrained multi‐terminal network design problems

We consider a reliable network design problem under uncertain edge failures. Our goal is to select a minimum‐cost subset of edges in the network to connect multiple terminals together with high probability. This problem can be seen as a stochastic variant of the Steiner tree problem. We propose two scenario‐based Steiner cut formulations, study the strength of the proposed valid inequalities, and develop a branch‐and‐cut solution method. We also propose an LP‐based separation for the scenario‐based directed Steiner cut inequalities using Benders feasibility cuts, leveraging the success of the directed Steiner cuts for the deterministic Steiner tree problem. In our computational study, we test our branch‐and‐cut method on instances adapted from graphs in SteinLib Testdata Library with up to 100 nodes, 200 edges, and 17 terminals. The performance of our branch‐and‐cut method demonstrates the strength of the scenario‐based formulations and the benefit from adding the additional valid inequalities that we propose. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 321–334, 2015     

一种强干扰环境下的相干弱目标DOA估计算法

提出了一种强干扰环境下相干弱信号的DOA估计算法。该算法通过修正的Toeplitz矩阵实现了对相干弱信号的解相干,然后将强干扰信号对应的特征矢量从信号子空间中剔除,最后利用MUSIC算法对弱信号进行DOA估计。所提算法不需要预知强干扰信号方位信息,对非平稳噪声有较好的抑制性能。此外,相对JJM算法,该算法具有更高的估计精度和正确概率,对强干扰信源具有更好的抑制性能。     

随机布阵条件下同时数字多波束干扰优化设计方法

针对现有方法普遍存在的波束形成算法效率低、难以形成多频点多方向的同时多波束干扰、不适用于随机布阵条件下的波束形成等缺点,提出了一种基于二阶锥规划(SOCP,Second-Order Cone Programming)理论的同时数字多波束干扰形成方法。首先,给出了在随机布阵条件下干扰多波束优化设计问题的数学描述;其次,以范数准则为例,将随机布阵条件下干扰多波束设计问题的解析形式转化为相应的SOCP形式;再次,利用现有的原-对偶内点算法工具箱Se Du Mi或者CVX进行快速求解。最后,仿真结果表明该方法可以较好地解决随机布阵条件下的多频率多方向雷达目标同时多波束干扰优化设计问题。     

CFO条件下的OFDM子载波调制样式识别方法

提出了一种基于信号幅度分布特征与多次方谱线特征相结合的调制样式识别算法。该算法主要基于正交解调后的正交频分复用子载波信号的幅度分布特征,采用直方图统计的方法实现多进制相移键控和多进制正交幅度调制识别,用多方次谱特征实现多进制相移键控类的调制识别。相比基于经典的高阶累积量的调制识别算法,具有更好的载波频率残留偏差适应能力,在载波频率偏差条件下,提高了调制识别率;相比循环平稳方法,具有更好的信噪比适应能力。仿真实验结果表明了该方法的有效性,相同的识别率下能适应更低的信噪比。     

一种基于变换域的自适应滤波算法

针对传统时域自适应滤波在较低信噪比下检测估计信号波形的局限性,提出一种基于变换域的自适应滤波的算法。该方法利用分数阶傅里叶变换在分析线性调频信号时的优良特性,在分数阶变换域上进行自适应滤波处理,提高信号检测估计效果。仿真实验证明,该算法在较低信噪比条件下能较好地检测估计出回波信号,滤波效果胜过时域滤波。     

无源雷达截获概率建模与窗口变量影响仿真

在截获概率概念和截获条件的基础上,综合时域、空域、频域等窗口函数构建截获概率模型,分别建立截获过程的4个窗口函数子模型,研究截获概率与窗口函数变量的影响关系。以SPS-48雷达为辐射源,仿真分析各窗口函数变量对截获概率的影响程度,讨论分区策略下无源雷达参数优化对截获概率的影响并总结截获概率提高方法,为无源雷达设计、研制、试验以及使用提供技术支撑。     

Sharp bounds for the reliability of systems and mixtures with ordered components

In this article, we study how to derive bounds for the reliability and the expected lifetime of a coherent system with heterogeneous ordered components. These bounds can be used to compare the performance of the systems obtained by permuting the components at a given system structure, that is, to study where we should place the different components at a system structure to get the most reliable system. Moreover, a similar procedure is applied to get bounds for mixtures and for the generalized proportional hazard rate model when the baseline populations are ordered. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 108–116, 2017